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Let z,w be complex numbers such that bar...

Let `z,w` be complex numbers such that `barz+ibarw=0` and `arg (zw)=pi` .Then `arg(z)` equals

A

`(5pi)/4`

B

`pi/2`

C

`(3pi)/4`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`barz+iomega=0` and arg `(zomega)=pi`
`rArr bar(z-iomega)=0` and arg `(z)+"arg"(omega)=pi`
`rArr z=iomega` and `"arg"(z)+"arg"(omega)=pi`
`"arg"(z)=pi/2+"arg"(omega)` and `"arg"(z) + "arg"(omega)=pi`
`rArr -pi/2+2"arg"(z)=pi rArr "arg"(z)=(3pi)/4`
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